Astronomy and Astrophysics – Astrophysics
Scientific paper
2007-07-02
Phys.Rev.Lett.99:241802,2007
Astronomy and Astrophysics
Astrophysics
4 pages, 2 figures. Version accepted by PRL
Scientific paper
10.1103/PhysRevLett.99.241802
We examine a phenomenon recently predicted by numerical simulations of supernova neutrino flavor evolution: the swapping of supernova $\nu_e$ and $\nu_{\mu,\tau}$ energy spectra below (above) energy $\EC$ for the normal (inverted) neutrino mass hierarchy. We present the results of large-scale numerical calculations which show that in the normal neutrino mass hierarchy case, $\EC$ decreases as the assumed $\nu_e\rightleftharpoons\nu_{\mu,\tau}$ effective $2\times 2$ vacuum mixing angle ($\simeq \theta_{1 3}$) is decreased. However, these calculations also indicate that $\EC$ is essentially independent of the vacuum mixing angle in the inverted neutrino mass hierarchy case. With a good neutrino signal from a future Galactic supernova, the above results could be used to determine the neutrino mass hierarchy even if $\theta_{13}$ is too small to be detected in terrestrial neutrino oscillation experiments.
Carlson Jack
Duan Huaiyu
Fuller George M.
Qian Yong-Zhong
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